Published February 1985 | Version v1
Journal article Metadata-only

Variational treatment of the centre-of-mass motion

Creators

  • 1. Limburgs Universitair Centrum (Belgium)
  • 2. Centre d'Etude de l'Energie Nucleaire, Mol (Belgium)

Description

The weight function in the general expression of Lipkin (1958 Phys. Rev. 110,1395) for eliminating the centre-of-mass coordinate from nuclear wavefunctions has been approximated by a gaussian function exp(-lambdaR2) with on parameter, lambda, to be determined by a variational calculation. This calculation has been carried out for the ground state of 6Li and the lowest energy has been obtained for a negative value of lambda. An explanation for this surprising result based on the cluster model is given. The result is also compared with other proposals in the literature for treating the centre-of-mass motion in nuclei. (author)

Additional details

Publishing Information

Journal Title
J. Phys., G (London). Nucl. Phys.
Journal Volume
11
Journal Issue
2
Series
J. Phys., G (London). Nucl. Phys.
Journal Page Range
231-241
ISSN
0305-4616

INIS

Country of Publication
United Kingdom
Country of Input or Organization
United Kingdom
INIS RN
16033084
Subject category
S73: NUCLEAR PHYSICS AND RADIATION PHYSICS;
Descriptors DEI
CENTER-OF-MASS SYSTEM; CLUSTER MODEL; COORDINATES; LITHIUM 6; MOTION; NUCLEAR STRUCTURE; VARIATIONAL METHODS; WAVE FUNCTIONS; WEIGHTING FUNCTIONS
Descriptors DEC
FUNCTIONS; ISOTOPES; LIGHT NUCLEI; LITHIUM ISOTOPES; MATHEMATICAL MODELS; NUCLEAR MODELS; NUCLEI; ODD-ODD NUCLEI; STABLE ISOTOPES